Use Greens Theorem to evaluate C F dr. (Check the orientation of the curve before

Use Green’s Theorem to evaluate ʃ_C F · dr. (Check the orientation of the curve before applying the theorem.)

F(x, y) = (√x + y3, x2 + √y), C consists of the arc of the curve y = sin x from (0, 0) to (π, 0) and the line segment from (π, 0) to (0, 0)

Data from Green's Theorem

Let C be a positively oriented, piecewise-smooth, simple closed curve in the plane and let D be the region bounded by C. If P and Q have continuous partial derivatives on an open region that contains D, then

Transcribed Image Text:

If | Pdx + Q dy = D ах ар ду dA